ABSTRACT
This chapter discusses various analytical methods that are, separation of variables, integral transforms and Laplace transforms, and investigates the application of these methods to the solution of several heat conduction problems. It presents other analytical methods of solution, including Duhamel's method, the method of similarity transformation, the integral method, and the variational method. The integral method is especially important because it can also be implemented to solve nonlinear problems. The Duhamel's method is introduced by applying it to the solution of a representative heat conduction problem. The chapter describes the basics of the similarity method and the solution procedure by solving a representative heat conduction problem. It discusses the basics of the integral method, by which approximate analytical solutions to both linear and nonlinear heat conduction problems can be obtained.
